On log surfaces

DOI10.3792/pjaa.88.109zbMath1268.14012arXiv1205.2464OpenAlexW2036796046MaRDI QIDQ1931915

Hiromu Tanaka, Osamu Fujino

Publication date: 16 January 2013

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2464

zbMATH Keywords

algebraic surfacesminimal model theoryFrobenius mapcontraction theoremvanishing theoremalgebraic spaces

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (19)

On log canonical rational singularities ⋮ On the adjunction formula for 3-folds in characteristic \(p>5\) ⋮ Minimal model program for excellent surfaces ⋮ The X-method for klt surfaces in positive characteristic ⋮ The augmented base locus of real divisors over arbitrary fields ⋮ Abundance theorem for surfaces over imperfect fields ⋮ Blown-up toric surfaces with non-polyhedral effective cone ⋮ On quasi-log schemes ⋮ Abundance theorem for threefolds in mixed characteristic ⋮ Polarized endomorphisms of normal projective threefolds in arbitrary characteristic ⋮ Some remarks on log surfaces ⋮ On minimal model theory for algebraic log surfaces ⋮ MINIMAL MODEL THEORY FOR LOG SURFACES IN FUJIKI’S CLASS ⋮ Uniform bounds for strongly 𝐹-regular surfaces ⋮ Rational points on log Fano threefolds over a finite field ⋮ Singularities of Normal Log Canonical del Pezzo Surfaces of Rank One ⋮ Minimal Models and Abundance for Positive Characteristic Log Surfaces ⋮ On strongly \(F\)-regular inversion of adjunction ⋮ Characterization of log del Pezzo pairs via anticanonical models

Cites Work

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• Minimal model theory for log surfaces
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• Moving codimension-one subvarieties over finite fields
• On Reider's method for surfaces in positive characterstic.
• Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields
• Minimal Models and Abundance for Positive Characteristic Log Surfaces

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